Erika had 80% as many candy canes as Sarah. Erika gave away 10% of her candy canes and Sarah bought another 45 candy canes. As a result, Erika now has 60% as many candy canes as Sarah. Find the number of candy canes that Sarah had at first.
| |
Erika |
Sarah |
| Before |
4x3 |
5x3 |
| Change |
- 0.4x3 |
+ 45 |
| After |
3.6x3 |
5x3 + 45 |
Comparing Erika and
Sarah in the end |
3x3.6 |
5x3.6 |
| |
Erika |
Sarah |
| Before |
12 u |
15 u |
| Change |
- 1.2 u |
+ 45 |
After
|
10.8 u
|
15 u + 45 =
18 u |
80% =
80100 =
4510% x 4
=
10100 x 4
= 0.4
60% =
60100 =
35The number of candy canes that Erika had in the end is repeated.
Make the number of candy canes that Erika had in the end the same.
The number of candy canes that Sarah had in the end is repeated.
15 u + 45 = 18 u
18 u - 15 u = 45
3 u = 45
1 u = 45 ÷ 3 = 15
Number of candy canes that Sarah had at first
= 15 u
= 15 x 15
= 225
Answer: 225
